Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×D17⋊M16 |
| Sylow | C17 ⋊ C2×C4×M16 |
656 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
208 conjugacy classes — view the full character table.
| maximal subgroup of | #17950345, #17950346, #17950353, … |
| maximal normal subgroup of | #17950345, #17950346, #17950353, … |
| maximal quotient of | C8×D17⋊M16, #17964006, #17964034, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21066);